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# Constructing Networks, Scheduling and probability

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Please view the attached pdf and complete a network diagram and respond to the questions.

1. Scheduled completion of the project
2. Critical path of the project
3. EST, LST, EF and LF for activities
4. Float for activities
5. Scheduled completion time for project

#### Solution Preview

See the attached file. Thanks

Problem 1:
Network Diagram

Activity Analysis for Problem 1

Activity On Critical Activity Earliest Earliest Latest Latest Slack
Name Path Time Start Finish Start Finish (LS-ES)
1 A no 3 0 3 1 4 1
2 B Yes 4 0 4 0 4 0
3 C no 6 0 6 2 8 2
4 D Yes 2 4 6 4 6 0
5 E no 1 6 7 8 9 2
6 F Yes 3 6 9 6 9 0
7 G Yes 3 9 12 9 12 0
8 H no 7 6 13 15 22 9
9 I Yes 10 12 22 12 22 0

Project Completion Time = 22 Days
Number of Critical Path(s) = 1

(A) As seen from the network diagram the scheduled completion of the project is 22 days.
(B) The critical path is indicated on the network diagram with red color and shown in the able table with as "Yes" in Table under "On Critical Path" column. The critical path is
B - D - F - G - I
The length of critical path is 22 days.
(C) As seen in table, EST for activity D is 4 Days from start.
(D) As seen in table, LST for activity G is 9 Days from start.
(E) As seen in table, EF for ...

#### Solution Summary

Answer four activity in box (AIB) problems on network construction, one comprehensive problem on network construction and one problem on scheduling and probability. This could be used as a good practice for project management.

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